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Finding the Fourth Proportional to 131,425.28, 197,137.72 and 52,558

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Solution

The fourth proportional to 131,425.28, 197,137.72 and 52,558 is: 78,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,425.28 : 197,137.72 = 52,558 : x
  2. Step 2: Convert to fraction form
    131,425.28/197,137.72 = 52,558/x
  3. Step 3: Cross multiply
    131,425.28x = 197,137.72 × 52,558
  4. Step 4: Simplify right side
    131,425.28x = 10,361,164,287.76
  5. Step 5: Solve for x
    x = 10,361,164,287.76/131,425.28
  6. Step 6: Final answer
    x = 78,836.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.